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Finding the Third Proportional to 5,379.75 and 7,215.33

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Solution

The third proportional to 5,379.75 and 7,215.33 is: 9,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379.75 : 7,215.33 = 7,215.33 : x
  2. Step 2: Convert to fraction form
    5,379.75/7,215.33 = 7,215.33/x
  3. Step 3: Cross multiply
    5,379.75x = 7,215.33 × 7,215.33
  4. Step 4: Simplify right side
    5,379.75x = 52,060,959.95
  5. Step 5: Solve for x
    x = 52,060,959.95/5,379.75
  6. Step 6: Final answer
    x = 9,677.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.